{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "28db3e75-4c96-409d-8685-44f00db8ac6a",
   "metadata": {},
   "source": [
    "Chapter 15\n",
    "# 环，有向图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fb3e1af4-c0b9-4bbd-a989-a75097c07f06",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "95f76998-8cae-488e-ba11-7dea1c509547",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个包含5个节点的无向完全图\n",
    "G_undirected = nx.complete_graph(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2ebbd7c7-5e83-4160-a056-cf1cd2dd0710",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个新的有向图\n",
    "G_directed = nx.DiGraph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fe67dcdd-c461-4109-847e-6e54997faa12",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 为每对节点随机选择方向\n",
    "random.seed(8)\n",
    "for u, v in G_undirected.edges():\n",
    "    if random.choice([True, False]):\n",
    "        G_directed.add_edge(u, v)\n",
    "    else:\n",
    "        G_directed.add_edge(v, u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2fe809ae-bca5-4a29-ba2d-e994485254e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化图\n",
    "plt.figure(figsize = (6,6))\n",
    "pos = nx.circular_layout(G_directed)\n",
    "nx.draw_networkx(G_directed, \n",
    "                 pos = pos,\n",
    "                 with_labels = True,\n",
    "                 node_size = 188) \n",
    "plt.savefig('完全图，设定边方向.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11a5bd67-56ed-4390-9c43-e8ba75317b07",
   "metadata": {},
   "source": [
    "## 发现 cycle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bf1d9264-a794-4ce8-a5b9-b443d11677a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(0, 1, 'forward'), (1, 2, 'forward'), (2, 0, 'forward')]\n"
     ]
    }
   ],
   "source": [
    "cycle = nx.find_cycle(G_directed, orientation=\"original\")\n",
    "print(cycle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5abfc59c-4ef6-4d28-a186-b9ca0c982c14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化图\n",
    "plt.figure(figsize = (6,6))\n",
    "pos = nx.circular_layout(G_directed)\n",
    "nx.draw_networkx(G_directed, \n",
    "                 pos = pos,\n",
    "                 with_labels = True,\n",
    "                 node_size = 188) \n",
    "nx.draw_networkx_edges(G_directed, pos = pos, \n",
    "                       edgelist=cycle, edge_color=\"r\", width=2)\n",
    "plt.savefig('有向图中的cycle.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "791017ad-3b79-4c73-b080-b8fb2fc3e5d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0, 1, 2], [0, 1, 2, 3], [0, 1, 3]]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_cycles = list(nx.simple_cycles(G_directed))\n",
    "# 找到有向图中所有环\n",
    "list_cycles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "bb48ac14-8443-4c15-bb8c-149051a9b2fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list_cycles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "18debd32-3c21-4de7-8b74-a75f4b4df2b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义函数将节点序列转化为边序列 (闭环)\n",
    "\n",
    "def nodes_2_edges(node_list):\n",
    "    \n",
    "    # 使用列表生成式创建边的列表\n",
    "    list_edges = [(node_list[i], node_list[i+1]) \n",
    "                  for i in range(len(node_list)-1)]\n",
    "    \n",
    "    # 加上一个额外的边从最后一个节点回到第一个节点，形成闭环\n",
    "    closing_edge = [(node_list[-1], node_list[0])]\n",
    "    list_edges = list_edges + closing_edge\n",
    "    return  list_edges\n",
    "\n",
    "# 也可以用函数\n",
    "# nx.utils.pairwise(, cyclic = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "226c0040-90ab-4e7a-9a8e-d1e324ecb601",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x300 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化有向图中3个环\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize = (9,3))\n",
    "\n",
    "axes = axes.flatten()\n",
    "\n",
    "for nodes_i, ax_i in zip(list_cycles, axes):\n",
    "    \n",
    "    edges_i = nodes_2_edges(nodes_i)\n",
    "    \n",
    "    nx.draw_networkx(G_directed, \n",
    "                     ax = ax_i,\n",
    "                     pos = pos,\n",
    "                     with_labels = True,\n",
    "                     node_size = 88) \n",
    "    \n",
    "    nx.draw_networkx_nodes(G_directed,\n",
    "                           ax = ax_i,\n",
    "                           nodelist = nodes_i,\n",
    "                           pos = pos,\n",
    "                           node_size = 88,\n",
    "                           node_color = 'r')\n",
    "\n",
    "    nx.draw_networkx_edges(G_directed,\n",
    "                           pos = pos,\n",
    "                           ax = ax_i,\n",
    "                           edgelist = edges_i,\n",
    "                           edge_color = 'r')\n",
    "        \n",
    "    ax_i.set_title(' → '.join(str(node) for node in nodes_i))\n",
    "    ax_i.axis('off')\n",
    "    \n",
    "plt.savefig('有向图中所有cycles.svg')  "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
